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Finding the Fourth Proportional to 429,583.36, 644,128.12 and 177,038.20

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Solution

The fourth proportional to 429,583.36, 644,128.12 and 177,038.20 is: 265,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,583.36 : 644,128.12 = 177,038.20 : x
  2. Step 2: Convert to fraction form
    429,583.36/644,128.12 = 177,038.20/x
  3. Step 3: Cross multiply
    429,583.36x = 644,128.12 × 177,038.20
  4. Step 4: Simplify right side
    429,583.36x = 114,035,282,934.18
  5. Step 5: Solve for x
    x = 114,035,282,934.18/429,583.36
  6. Step 6: Final answer
    x = 265,455.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.